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Finding the Third Proportional to 224,151.47 and 483,725.25

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Solution

The third proportional to 224,151.47 and 483,725.25 is: 1,043,892.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,151.47 : 483,725.25 = 483,725.25 : x
  2. Step 2: Convert to fraction form
    224,151.47/483,725.25 = 483,725.25/x
  3. Step 3: Cross multiply
    224,151.47x = 483,725.25 × 483,725.25
  4. Step 4: Simplify right side
    224,151.47x = 233,990,117,487.56
  5. Step 5: Solve for x
    x = 233,990,117,487.56/224,151.47
  6. Step 6: Final answer
    x = 1,043,892.86

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.